• SJSU Singular Matrix Database
  • Matrix group: FIDAP
  • Click here for a description of the FIDAP group.
  • Click here for a list of all matrices
  • Click here for a list of all matrix groups


  • Matrix: FIDAP/ex33
  • Description: TEST MATRIX FROM FIDAP: EX33.MAT
  • download as a MATLAB mat-file, file size: 70 KB. Use SJget(320) or SJget('FIDAP/ex33') in MATLAB.
  • download in Matrix Market format, file size: 63 KB.
  • download in Rutherford/Boeing format, file size: 44 KB.

    FIDAP/ex33

    Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

    FIDAP/ex33

    dmperm of FIDAP/ex33

    Matrix properties (click for a legend)  
    number of rows1,733
    number of columns1,733
    structural full rank?yes
    structural rank1,733
    numerical rank 1,732
    dimension of the numerical null space1
    numerical rank / min(size(A))0.99942
    Euclidean norm of A 1.176e+011
    calculated singular value # 17320.030116
    numerical rank defined using a tolerance
    max(size(A))*eps(norm(A)) =
    0.026443
    calculated singular value # 17330.016761
    gap in the singular values at the numerical rank:
    singular value # 1732 / singular value # 1733
    1.7968
    calculated condition number7.0161e+012
    condest1.2008e+013
    nonzeros22,189
    # of blocks from dmperm2
    # strongly connected comp.2
    entries not in dmperm blocks0
    explicit zero entries0
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?yes
    positive definite?yes

    authorA. Baggag, Y. Saad
    editorA. Baggag, Y. Saad
    date1994
    kindcomputational fluid dynamics problem
    2D/3D problem?yes
    SJid320
    UFid430

    Ordering statistics:AMD METIS DMPERM+
    nnz(chol(P*(A+A'+s*I)*P'))33,725 40,116 33,725
    Cholesky flop count8.2e+005 1.3e+006 8.2e+005
    nnz(L+U), no partial pivoting65,717 78,499 65,717
    nnz(V) for QR, upper bound nnz(L) for LU34,827 50,504 38,701
    nnz(R) for QR, upper bound nnz(U) for LU67,851 92,525 70,455

    Maintained by Leslie Foster, last updated 24-Apr-2009.

    Entries 5 through 14 in the table of matrix properties and the singular
    value plot were created using SJsingular code. The other plots
    and statistics are produced using utilities from the SuiteSparse package.
    Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.